Results 31 to 40 of about 38,020 (248)
On the Geometry of the Liapunov-Schmidt Procedure [PDF]
, 1978 The lectures presented by the author are not reproduced here since that material is available in J. Marsden, Qualitative Methods in Bifurcation Theory, Bull. Am. Math. Soc. 84 (1978), 1125–1148, R. Abraham and J. Marsden, Foundations of Mechanics, Second
Marsden, Jerrold E.
core +1 more source
Hopf bifurcation with non-semisimple 1:1 resonance [PDF]
, 1990 A generalised Hopf bifurcation, corresponding to non-semisimple double imaginary eigenvalues (case of 1:1 resonance), is analysed using a normal form approach. This bifurcation has linear codimension-3, and a centre subspace of dimension 4.
Gils, S.A. van +2 more
core +3 more sources
Hamiltonian Hopf Bifurcation with Symmetry [PDF]
Archive for Rational Mechanics and Analysis, 2002 35 pages, 3 ...
Chossat, Pascal +2 more
openaire +3 more sources
, 2008 We present a bifurcation analysis of a normal form for travelling waves in one-dimensional excitable media. The normal form which has been recently proposed on phenomenological grounds is given in form of a differential delay equation.
Georg A. Gottwald +5 more
core +1 more source
Dissipative periodic and chaotic patterns to the KdV--Burgers and Gardner equations [PDF]
, 2019 We investigate the KdV-Burgers and Gardner equations with dissipation and external perturbation terms by the approach of dynamical systems and Shil'nikov's analysis.
Adams, Ronald, Mancas, Stefan C.
core +3 more sources
Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion
Advances in Difference Equations, 2019 In this paper, the Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion and Neumann boundary condition is considered. Firstly, we present a kind of double parameters selection method, which can be used to analyze the Turing ...
Qiushuang Shi, Ming Liu, Xiaofeng Xu
doaj +1 more source
Time-delayed feedback control of unstable periodic orbits near a subcritical Hopf bifurcation
, 2010 We show that Pyragas delayed feedback control can stabilize an unstable periodic orbit (UPO) that arises from a generic subcritical Hopf bifurcation of a stable equilibrium in an n-dimensional dynamical system. This extends results of Fiedler et al. [PRL
Bar-Eli +46 more
core +1 more source
Hopf Bifurcation in the presence of symmetry [PDF]
Archive for Rational Mechanics and Analysis, 1984 This note announces a Hopf-bifurcation theorem for ordinary differential equations invariant under the action of a compact symmetry group. Various applications are sketched and references to previous more special results of other authors are given. Detailed proofs and further results are to appear in a paper with the same title (in Arch. Ration.
Golubitsky, Martin, Stewart, Ian
openaire +5 more sources
, 2018 In this paper, the dynamics of a modified Leslie-Gower predator-prey system with two delays and diffusion is considered. By calculating stability switching curves, the stability of positive equilibrium and the existence of Hopf bifurcation and double ...
Du, Yanfei, Niu, Ben, Wei, Junjie
core +1 more source
Journal of Differential Equations, 1995 The authors present a numerical bifurcation study of the dynamical behavior of a structural dynamics model of a periodically forced suspended cable. The simplified equations of motion are: \(\ddot x+ \mu \dot x+ c_1 x+ c_2 x^2+ c_3 x^3= P\cos(\Omega t)\); \(c_1\), \(c_2\), \(c_3\) are fixed parameters.
Deng, B., Sakamoto, K.
openaire +2 more sources